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Finding the Fourth Proportional to 140,513.40, 210,757.14 and 47,019.96

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Solution

The fourth proportional to 140,513.40, 210,757.14 and 47,019.96 is: 70,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,513.40 : 210,757.14 = 47,019.96 : x
  2. Step 2: Convert to fraction form
    140,513.40/210,757.14 = 47,019.96/x
  3. Step 3: Cross multiply
    140,513.40x = 210,757.14 × 47,019.96
  4. Step 4: Simplify right side
    140,513.40x = 9,909,792,292.51
  5. Step 5: Solve for x
    x = 9,909,792,292.51/140,513.40
  6. Step 6: Final answer
    x = 70,525.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.